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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 304))

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Abstract

The main purpose of this chapter is to show that, for R⊂Q, the R-completion of the preceding chapters is a localization with respect to a set of primes, and that therefore various well-known results about localizations of simply connected spaces remain valid for nilpotent spaces (i.e. spaces for which, up to homotopy, the Postnikov tower can be refined to a tower of principal fibrations).

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© 1972 Springer-Verlag Berlin Heidelberg

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Bousfield, A.K., Kan, D.M. (1972). R-localizations of nilpotent spaces. In: Homotopy Limits, Completions and Localizations. Lecture Notes in Mathematics, vol 304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38117-4_5

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  • DOI: https://doi.org/10.1007/978-3-540-38117-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06105-2

  • Online ISBN: 978-3-540-38117-4

  • eBook Packages: Springer Book Archive

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